arXiv Analytics

Sign in

arXiv:1005.4943 [math.AP]AbstractReferencesReviewsResources

Wave operator bounds for 1-dimensional Schrödinger operators with singular potentials and applications

Vincent Duchêne, Jeremy L. Marzuola, Michael I. Weinstein

Published 2010-05-26Version 1

Boundedness of wave operators for Schr\"odinger operators in one space dimension for a class of singular potentials, admitting finitely many Dirac delta distributions, is proved. Applications are presented to, for example, dispersive estimates and commutator bounds.

Comments: 16 pages, 0 figures
Categories: math.AP, math-ph, math.MP
Subjects: 35J10, 35P25, 35B25, 03.65.Ge
Related articles: Most relevant | Search more
arXiv:1207.6375 [math.AP] (Published 2012-07-26, updated 2012-07-30)
Vector analysis on fractals and applications
arXiv:1012.3785 [math.AP] (Published 2010-12-17)
Ito diffusions, modified capacity and harmonic measure. Applications to Schrodinger operators
arXiv:1103.4725 [math.AP] (Published 2011-03-24, updated 2011-11-21)
Magnetic Virial and applications to blow up for Schrödinger and wave equations

Links

Toolbox